참고문헌
- Bak, P. (1996). How nature works. Copernicus/Springer-Verlag, New York.
- Clauset, A., Shalizi, C. R., and Newman, M. E. J. (2009). "Power-law distributions in empirical data." Siam Review, Vol. 51, No. 4, pp. 661-703. https://doi.org/10.1137/070710111
- De Vries, H., Becker, T., and Eckhardt, B. (1994). "Power law distribution of discharge in ideal networks." Water Resources Research, Vol. 30, No. 12, pp. 3541-3543. https://doi.org/10.1029/94WR02178
- Flint, J. J. (1974). "Stream gradient as a function of order, magnitude, and discharge." Water Resources Research, Vol. 10, No. 5, pp. 969-973. https://doi.org/10.1029/WR010i005p00969
- Gartsman, B., and Shekman, E. (2016). "Potential of river network modeling based on GIS technologies and digital elevation model." Russian Meteorology and Hydrology, Vol. 41, No. 1, pp. 63-71. https://doi.org/10.3103/S1068373916010088
- Ijjasz-Vasquez, E. J., and Bras, R. L. (1995). "Scaling regimes of local slope versus contributing area in digital elevation models." Geomorphology, Vol. 12, No. 4, pp. 299-311. https://doi.org/10.1016/0169-555X(95)00012-T
- Kim, J. C., Choi, B., and Jung, K. (2017). "Analysis of runoff aggregation structure and energy expenditure pattern for Choyang creek basin on the basis of power law distribution." Journal of Korea Water Resources Association, Vol. 50, No. 11, pp. 725-734. https://doi.org/10.3741/JKWRA.2017.50.11.725
- Kim, J. C., Kang, H., and Jung, K. (2016). "Analysis of drainage structure for river basin on the basis of power law distribution." Journal of Korea Water Resources Association, Vol. 49, No. 6, pp. 495-507. https://doi.org/10.3741/JKWRA.2016.49.6.495
- La Barbera, P., and Roth, G. (1994). "Invariance and scaling properties in the distributions of contributing area and energy in drainage basins." Hydrological Processes, Vol. 8, No. 2, pp. 125-135. https://doi.org/10.1002/hyp.3360080204
- Leopold, L.B., and Maddock, T. (1953). The hydraulic geometry of stream channels and some physiographic implications. Geological Survey Professional Paper 252, U.S. Government Printing Office, Washington, D.C.
- Mandelbrot, B. B. (1982). The fractal geometry of nature. W.H. Freeman, New York.
- Mandelbrot, B. B., and Van Ness, J. W. (1968). "Fractional Brownian motions, fractional noises and applications." Society for Industrial and Applied Mathematics, Vol. 10, No. 4, pp. 427-437.
- Maritan, A., Rinaldo, A., Rigon, A., Giacometti, A., and Rodriguez-Iturbe, I. (1996). "Scaling laws for river networks." Physical Review E, Vol. 53, No. 2, pp. 1510-1515.
- McNamara, J. P., Ziegler, A. D., Wood, S. H., and Vogler, J. B. (2006). "Channel head locations with respect to geomorphologic thresholds derived from a digital elevation model: a case study in northern Thailand." Forest Ecology and Management, Vol. 224, No. 1-2, pp. 147-156. https://doi.org/10.1016/j.foreco.2005.12.014
- Montgomery, D. R., and Dietrich, W. E. (1992). "Channel initiation and the problem of landscape scale." Science, Vol. 255, No. 5046, pp. 826-830. https://doi.org/10.1126/science.255.5046.826
- Montgomery, D. R., and Foufoula-Georgiou, E. (1993). "Channel network source representation using digital elevation models." Water Resources Research, Vol. 29, No. 12, 3925-3934. https://doi.org/10.1029/93WR02463
- Newman, M. E. J. (2005). "Power laws, Pareto distributions and Zipf's law." Contemporary Physics, Vol. 46, No. 5, pp. 323-351. https://doi.org/10.1080/00107510500052444
- Perera, H., and Willgoose, G. (1998). "A physical explanation of the cumulative area distribution curve." Water Resources Research, Vol. 34, No. 5, pp. 1335-1343. https://doi.org/10.1029/98WR00259
- Pilgrim, D. H. (1977). "Isochrones of travel time and distribution of flood storage from a tracer study on a small watershed." Water Resources Research, Vol. 13, No. 3, 587-595. https://doi.org/10.1029/WR013i003p00587
- Rodriguez-Iturbe, I., Ijjasz-Vasquez, E. J., Bras, R. L., and Tarboton, D. G. (1992). "Power law distributions of discharge, mass, and energy in river basins." Water Resources Research, Vol. 28, No. 4, pp. 1089-1093. https://doi.org/10.1029/91WR03033
- Smart, J. S. (1972). "Channel network." Advances in Hydroscience, Vol. 8, pp. 305-346.
- Smith, T. R., and Bretherton, F. P. (1972). "Stability and the conservation of mass in drainage basin evolution." Water Resources Research, Vol. 8, No. 6, pp. 1506-1529. https://doi.org/10.1029/WR008i006p01506
- Takayasu, H., Nishikawa, I., and Tasaki, H. (1988). "Power-law mass distribution of aggregation systems with injection." Physical Review A, Vol. 37, No. 8, pp. 3110-3117. https://doi.org/10.1103/PhysRevA.37.3110
- Tarboton, D. G., Bras, R. L., and Rodriguez-Iturbe, I. (1989). "Scaling and elevation in river networks." Water Resources Research, Vol. 25, No. 9, pp. 309-319.
- Tarboton, D. G., Bras, R. L., and Rodriguez-Iturbe, I. (1992). "A physical basis for drainage density." Geomoephology, Vol. 5, No. 1-2, pp. 59-76. https://doi.org/10.1016/0169-555X(92)90058-V
- Willgoose, G., Bras, R. L., and Rodriguez-Iturbe, I. (1991). "A coupled channel network growth and hillslope evolution model: 1. Theory." Water Resources Research, Vol. 27, No. 7, pp. 1671-1684. https://doi.org/10.1029/91WR00935
- Yoon, Y. (2007). Hydrology. Cheongmoongak.